本研究透過網路科技的輔助，結合學習社群的理論基礎，問題導向、數學寫作、歷程評量的學習策略，以國中數學知識為學習內容，發展Web上數學知識共享的學習環境－線上家教網（Tele-Tutoring Network, 簡稱TTNET）。本研究目的有三：(1) 觀察TTNET輔助國中生數學學習知能的成效。(2) 分析TTNET中線上家教數學教學的方法。(3) 評量TTNET在系統設計上的完整性與適用性。
本研究選金華國中一年二十九班有意願參與的學生為實驗對象，並輔以四名經面試審核的家教群引導教學活動之進行。藉由問卷調查分析與互動內容觀察所累積的資料，探究TTNET上學生的學習成效、家教的教學方法與系統功能的完整性。研究結果歸結如下：(1) 學習內容應朝向有趣、簡單、活潑的風格，方能吸引學習者的閱讀動機與參與程度；而家教群定期的佈題與即時的解題，亦有助內容的增長。(2) 系統管理應秉持公平與合理的原則，訂定各項管理公約以協調討論秩序。(3) 藉由討論區與學習日誌區的提問、寫作、省思，家教群可即時地給予回饋和意見，刺激學習者主動地思考數學問題；故學生相當肯定TTNET對數學成績的助益，而社群成員均願意持續使用TTNET學習環境，以獲得豐富的資源與即時的諮詢。(4) 分析家教群於TTNET使用的數學教學方法，可分為示範式、講述式、辯論式、引導式、注入式五種類別，並配合正向、積極的態度，提供學習者個別化的指引。(5) 社群成員均同意TTNET各互動區在操作流程、輔助說明與整體設計上的合理性與適用性。
針對未來線上家教教學環境發展，建議如下：(1) 在系統功能方面，可規劃更便利的編輯工具、完整的歷程記錄與彈性的評分機制。 (2) 在管理策略方面，可運用獎勵策略的輔助，並嘗試擴充線上家教的範圍。(3) 在學習內容方面，應依照學習者的程度挑選適宜的題材，再逐漸擴充領域知識，並將長期累積的內容，系統化地編彙整理。

朱則剛（民83）。建構主義知識論與情境認知的迷思：兼論其對認知心理學的意義。教學科技與媒體，第13期，1-14。
朱耀明（民87）。網路合作學習與傳統教學的整合，第七屆國際電腦輔助教學研討會大會論文，551-557。
吳清山、林天祐（民86）。卷宗評量。教育資料與研究雙月刊，第15期，69-69。
吳筱菁（民86）。國中生電腦科Web學習環境的設計與發展。國立台灣師範大學資訊教育研究所碩士論文。
林文生（民85）。一位國小數學教師佈題情境及其對學生解題交互影響之分析研究。國立台北師範學院國民教育研究所碩士論文。
林文生、鄔瑞香（民88）。另類教與學：數學教育的藝術與實務。台北市：心理出版社。
林碧珍（民89）。數學課室內之評量與教學整合。http://content.edu.tw/primary /math /ml_cs/con1/con1-17.doc。
邱貴發（民85）。情境學習理念與電腦輔助學習—學習社群理念探討。台北：師大書苑。
邱貴發（民86）。Web教材發展：以國中電腦科為例。Web課程教學研討會，台北市。
邱貴發（民87）。網路世界中的學習：理念與發展。教育研究資訊，6(1)，20-27。
徐新逸、楊昭儀（民88）。建構網路學習社群的教學設計模式。視聽教育雙月刊， 39(3)，15-27。
陸思明（民88）。數學小品。台北：建宏出版社。
張美玉（民89）。歷程檔案評量的理念與實施。科學教育月刊，第231期，58-63。
張基成（民87）。教師專業成長網路學習社群之規劃及其預期效益與挑戰。教學科技與媒體，40，31-42。
張靜嚳（民84）。建構教學：採用建構主義如何教學。中部地區科學教育簡訊，7(1)。
張麗麗（民89）。「什麼樣的檔案才值得？」—談自主學習檔案的基本要素。屏縣教育季刊，第四期，1-6。
梁淑坤（民83）。擬題的研究及其在課程的角色。八十二學年度數學教育研討會論文暨會議實錄彙編，國立嘉義師範學院。
陳鳳如、郭生玉（民89）。閱讀與寫作整合的寫作歷程模式之適配度研究。師大學報：教育類，45(1)，1-18。
陳嘉彌（民87）。自情境教學探討師徒是教育實習。八十七學年度教育學術研討會，1-30。台北：台灣。
陳鴻基（民89）。虛擬大學的發展與未來展望。虛擬大學之組織與管理國際研討會論文集，http://140.123.19.211:2000/C_main/papers/speech/Chen.htm。
甯自強（民82）。國小數學科新課程的精神與改革動向—由建構主義的觀點來看。科學教育月刊，1(1)，101-108。
甯自強（民84）。五個區分對數與計算教材設計的影響。輯於八十三學年度國民小學數學科研討會論文暨會議實錄專輯，63-90。台北縣：台灣省國民學 校教師研習會。
曾志華（民86）。以建構論為基礎的科學教育理念。教育資料與研究，14，74-80。
黃敏晃 （民83）。國民小學數學新課程之精神。輯於國民小學數學科新課程概說（低年級），1-19。台北縣：台灣省國民學校教師研習會。
詹志禹（民85）。認識與知識：建構論VS接受觀。教育研究，49，25-38。
趙金婷（民89）。學習社群理念在教學上的應用。教育資料與研究，第三十五期，60-66。
劉祥通、周立勳（民86）。數學寫作活動—國小數學教學的溝通工具。國立嘉義師範學院國民教育研究所學報，3，239-262。
劉祥通、鄔瑞香、黃瓊儀（民89）。從學生數與量部分的數學寫作分析一位國小老師的數學佈題。教育研究資訊，8(4)，141-166。
劉錫麒（民86）。數學思考教學研究。台北：師大書苑。
鄭毓信（民87）。數學教育哲學。台北市：九章出版社。
盧雪梅（民87）。實作評量的應許、難題和挑戰。教育資料與研究雙月刊，第20期，1-5。
魏宗明（民87）。數學寫作活動之實施與功能。科學教育研究發展，第11期，55-65。
Alleman, E., Cochran, J., Doverspike, J. & Newman, I. (1984). Enriching mentoring relationships. The Personnel and Guidance Journal, 62(6), 329-332.
Arter, J.A., & Spandel, V. (1992). Using portfolios of student work in instruction and assessment. Educational Measurement: Issues and Practice, 11(1), 36-44.
Ashburn, E.A., Mann, M. & Purdue, P.A., (1987). Teacher mentoring: ERIC clearinghouse in teacher education. Paper presented at the annual meeting of the American Educational Research Association, Washington, DC.
Aspy, D. N., Aspy, C. B., & Quimby, P. M. (1993). What doctors can teach teachers about problem-based learning. Educational Leadership, 50(7), 22-24.
Azzolino, A.(1990). Write as a tool for teaching mathematics: The silence revolution. In T. J. Cooney & C. R. Hirsch, Teaching mathematics in the 1990s, 92-100. Reston, VA: National Council of Teachers of Mathematics.
Barron, A. E. & Karen, S. I. (1996). The Internet and Instruction Activities and Ideas. Englewood, Colo: Libraries Unlimited.
Barrows, H. S. (1984). A specific problem-based learning, self-directed learning method designed to teach medical problem-solving skills and enhance knowledge retention and recall, in H. G. Schmidt & M. L. deVolder (Eds). Tutorials in Problem-based Learning. Van Gorcum, Assln/maastricht, 16-32.
Barrows & Tamblyn, (1980). Problem-based learning: rational and definition, in H. S. Barrows (Eds). Problem-based learning: An approach to Medical Education, New York: Springer Publishing Company, 1-18.
Bell, E. S. & Bell, R. N. (1985). Writing and mathematics problem solving: arguments in favor of synthesis. School science and mathematics, 85, 210-221.
Berge, Z. (1997). Characteristics of on-line teaching in post-secondary formal education. Educational Technology, 37(3), 35-47.
Borasi, R. & Rose, B. J. (1989). Journal writing and mathematics instruction. Educational Studies in Mathematics, 20, 347-365.
Bransford, J. D., & Stein B. S. (1993). The IDEAL problem solver (2nd ed.). New York: Freeman.
Bridges, E., & Hallinger, P. (1992). Problem-Based Learning For Administrators. ERIC Clearinghouse on Educational Management, University of Oregon.
Brown, A. L., & Campione, J. C. (1994). Guided discovery in a community of learners, in M. Kate(Eds). Classroom lessons: integrating cognitive theory and classroom practice, 229-270.
Brown, J. S., Collins, A., & Duguid, P. (1989). Situated cognition and the culture of learning. Educational Researcher, 18(1), 32-41.
Brown, S. I., & Walter, M. I. (1990). The art of problem posing (2nd ed.). Hillsdale, NJ: Lawrence Erlbaum Associates.
Bull, G., Harris, J., Lloyd, J. & Short, J. (1989). The electronic academical village. Journal of Teacher Education, 40(4), 27-31.
Burks, L. C. (1994). The use of writing as a means of teaching eight-grade students to use executive processes and heuristic strategies to solve. Dissertation of the University of Michigan. Order Number 9409614.
Burrill, G. (1998). Presentation at the Metropolitan Mathematics Club Meeting. Chicago, IL.
Charles,R., & Silver, E. A., (Eds). (1988). The teaching and assessing of mathematical problem solving. Hillsdale, NJ:Larence Erlbaum Associates & National Council for Teachers of Mathematics.
Charlin, B. & Mann, K. (1998). The many faces of problem-based learning: A framework for understanding and comparison. Medical Teacher,20(4), 323-331.
Chee, Y. S. (1998). Web-based learning: Pedagogical approaches to the use of media and their learning effects. In Proceedings of The 6th International Conference on Computers in Education, 101-107. Beijing, China.
Chiou, G. F. (1997). Internet learning environment for junior high school's computer course, ED-MEDLA/ED-TELECOM'97, June 14-19, Calgary, Canada.
Cognition and Technology Group at Vanderbilt(1996). A multimedia literacy series that celebrates authorship and books. Communications of the Association for Computing Machinery. (ACM), 39(8), 106-109.
Collins, A. (1992). Portfolios: Questions for Design. Science Scope, 15 (6), 25-27.
Cordeiro, P., & Campbell, B. (1995). Problem-based learning as cognitive apprenticeship in educational administration. (ERIC Document Reproduction Service No. ED 386 800)
Driver, R., Asoko, H., Leach, J., Mortimer, E., & Scoti, P. (1994).Constructing scientific knowledge in the classroom. Educational Researcher, 23(7), 5-12.
D’Souza, P. (1991). The use of electronic mail as an instructional aid: An exploratory study. Journal of Computer-Based Instruction, 18(3), 106-110.
D’Souza, P. (1992). Electronic mail in academic setting: A multipurpose communications tool. Educational Technology, 32(3), 22-25.
EDC. (1994). Industry volunteers in the classroom: Freeing teachers' time for professional development. Educational Development Center, Inc., 55 Chapel Street, Newtonville, Mass., 02158-1060.
Edelson, D., & O’Neill, D. K. (1994). The Covis collaboratory notebook: Supporting collaborative scientific enquiry. (ERIC Document Reproduction Service No. ED 396 676)
Eiser, L. (1990). Keeping in touch: A guide to online telecommunications services. Technology & Learning, 11(2), 36-43.
Enright, B., & Beattle, J. (1989). Problem solving step by step in math. Teaching Exceptional Children, 22, 131-145.
Fitch, M. A. (1992). Peer tutor training: A comparison of role playing and video evaluation for effects on student and tutor outcomes [microform]. T(D)9323012.
Fulwiler, T. (1982). Writing an act of cognition. In C. W. Griffin (Ed.), New direction for teaching and learning teaching writing in all disciplines, 15-36. San Francisco: Jossey-Bass.
Gallagher, S. A., Sher, B. T., Stepien, W. J., & Workman, D. (1995). Implementing problem-based learning in science classrooms. School Science and Mathematics, 95(3), 136-146.
Garofalo, J. (1987). Metacognition and school mathematics. Arithmetic Teacher, 34(9), 22-23.
Hardy, L. C. (1998). Mentoring: A long-term approach to diversity. HR Focus, 75 (7), 11.
Harris, J., Rotenberg, L. & O’Bryan, E. (1997). Results from the Electronic Emissary Project: Telementoring lessons and examples, http://www.tcet.unt.edu/pubs/em/ em01.pdf, Texas Center for Educational Technology.
Hayes, J. R. & Flower, L. S. (1980). Identifying the organization of writing processes. In L. W. Gregg & E. R. Steinberg (Eds.), Cognitive process in writing. Hillsdale, N.J.
Heckscher, C. & Donnellon, A. M. (1994). The post-bureaucratic organization. London: Sage Publications (Eds.).
Hicks, D. (1996). Discourse, learning and teaching. American Educational Research Association, review of research in education, 21(2), 49-95.
Jackson, C. (1993). Mentoring: Choices for individuals and organizations. International Journal of Career Management, 5 (1), 10-16.
Jacobijn, S., Noor C. & Bruno, E., (2001). Tutor training: A systematic investigation of tutor requirements and an evaluation of training. British Journal of Educational Technology, 32(1), 69-90.
Johnson, M. (1983). Writing in mathematics classes: A valuable tool for learning. Mathematics Teacher, 76, 117-119.
Joyce B., Weil, M., &Showers, W.B. (1992). Models of Teaching (4nd Ed), Boston: Allyn and Bacon.
Juel, C. (1996). What makes literacy tutoring effective? Reading Research Quarterly, 31, 268-289.
Kamii, C. & Ewing, J. K., (1995). Basing teaching on Piaget's constructivism. Childhood Education, 72(5) , 260-264.
Kaye, B. & Jacobson, B. (1996). Reframing mentoring. Training & Development, 50 (8), 44-47.
Kimball, L., & Eunice, A. (1999). Zen and the art of facilitating virtual learning communities. Paper presented at the Thinkquest Teachers' Summit, Los Angeles, CA.
King, A. (1994). Guiding knowledge construction in the classroom: Effects of teaching children how to question and how to explain. American Educational Research Journal, 31(2), 338-368.
Kowch, E. & Schwier, R. (1997). Building Learning Community with Technology. Paper presented at the National Congress on Rural Education, Saskatoon, Canada.
Lave, J. (1988). Cognition in practice: Mind, mathematics, and culture in everyday life. Cambridge, England: Cambridge University Press.
Lave, J. & Wenger, E. (1991). Situated learning: Legitimate peripheral participation. Cambridge University Press.
Lester, F. K. , Kroll, D. L. (1996), Evaluation: A new vision. In D. V. Lambdin, P. E. Kehle, & R. V. Preston (Eds.), Emphasis on Assessment-Readings from NCTM’S School-Based Journals. Reston, VA: NCTM.
Linn, M. C. (1995). Designing computer learning environments for engineering and computer science: The scaffolded knowledge integration framework. Journal of Science Education and Technology, 4(2), 103-126.
Little, J. W. (1990). The mentor phenomenon and the social organization of teaching. Review of Research in Education, 16 , 297-351.
Mason, J., Burton, L., Stacey, K. (1989). Thinking mathematically. Workingham: Addison-Wesley.
Mayo, P., Donnelly, M. B., Nash, P. P., & Schwartz, R. W. (1993). Student Perceptions of Tutor Effectiveness in problem based surgery clerkship. Teaching and Learning in Medicine. 5(4), 227-233.
McArthur, D., Stasz, C. & Zmuidzinas, M. (1990). Tutoring techniques in algebra. Cognition and Instruction, 7, 197-244.
Meece, J. L., Wigfield, A. & Eccles, J. S. (1990). Predictors of math anxiety and its influence on young adolescents’ course enrollment intentions and performance in mathematics. Journal of Educational Psychology, 82, 60-70.
Merrill, D. C., Reiser, B. J., Ranney, M., & Trafton, J. G. (1992). Effective tutoring techniques: Acomparison of human tutors and intelligent tutoring systems. Journal of the Learning Sciences, 2(3), 277-305.
Millar, R. (1989). Constructive criticisms. International Journal of Science Education, 11(5), 87-596.
Miller, L. D.(1991). Writing to learn mathematics. Mathematics Teacher, October 1991, 516-521.
Miller, L. D.(1992). Teacher benefits from using impromptu writing prompts in algebra classes. Journal for Research in Mathematics Education, 23(4), 329-340.
O'Neill, D.K., Abeygunawardena, H., Perris, K, & Punja, Z. (2000). The Telementor's Guidebook: A field guide to supporting student inquiry on-line. Final report of Office of Learning Technologies project #89116. Ottawa: Human Resources Development Canada.
Paris, S. G., & Ayres, L. R. (1994). Becoming reflective students and teachers. Washington, D.C.: American Psychological Association.
Paulson, F.L., Paulson, P.R., & Meyer, C.A. (1991). What makes a portfolio a portfolio? Educational Leadership,48 , 60-63.
Pea, R. D. (1993). Practices of distributed intelligence and design for education. In G. Salomon (Ed.) Distributed Cognition: Psychological and Educational Considerations. Cambridge, UK: Cambridge Univ. Press.
Prewat, R. S. (1996). Learning community, commitment and school reform. Journal of Curriculum Studies, 28(1), 91-110.
Poling, D. (1994). Finding more teaching opportunities for physical education teacher education. The Physical Educator, 51(1), 53-56.
Resnick, L. B. (1988). The development of mathematical intuition. In R. I. Charles and E. A. Selver (Eds.), The teaching and assessing mathematical problem solving, Hillsdale, NJ/Reston, VA: Erlbaum and National Council of Teachers of Mathematics.
Rogers, B. (1992). Mentoring takes a new twist. H R Magazine, 37 (8), 48-51.
Ross, B. (1991). Towards a framework foe problem-based curricula, in: D. BOUD & G. FELETTI (Eds.) The Challenge of Problem-based Learning (New York, St Martin’s Press), 34-41.
Rowan, T., & Bourne, B. (1994). Thinking Like Mathematicians. Portsmouth, NH: Heinemann.
Saloman, G. (Ed.)(1993). Distributed cognition: Psychological and educational considerations, Cambridge University Press.
Savory, J., & Duffy, T. (1996). Problem- based learning: An instructional model and its constructivist framework. In B. C. Wilson (Ed.), Constructivist learning environments: Case studies in instructional Design, 135-150. Englewood Cliffs, NJ: Educational Technology Publications.
Scardamalia, M. & Bereiter, C. (1994). Computer support for knowledge-building communities. The Journal of the Learning Sciences, 3 (3), 260-283.
Schein, E. (1978). Career dynamics: Matching individual and organizational needs. Addison-Wesley, Reading, MA.
Schoenfeld, A. H. (1992). Learning to think mathematically: problem solving, cognition, metacognition, and sense making in mathematics. In D. A. Grouws (Ed). Handbook of Research on Mathematics Teaching and Learning. Macmillan Publishing Company, Maxwell Macmillan Canada.
Schrum, L. (1988). Introducing teacher to telecommunications: California’s (ESTTI). Technological Horizon in Education Journal, 15(8), 89-89.
Schrum, L. (1991). Teacher education goes online. Educational Leadership, 49(3), 39-42.
Shaklee, B. D., Barbour, N. E., Ambrose, R., Hansford, S. J. (1997). Designing and using portfolios. Boston: Allyn and Bacon.
Silver, E. A.(1986). Using conceptual and procedural knowledge: A focus on relationships. In J. Hiebert (Ed.), Conceptual and procedural knowledge: The case of mathematics, P181-189. Hillsdale, NJ: Lawrence Erlbaum Associates.
Simon, M. A. (1995). Reconstructing mathematics pedagogy from a constructivist perspective. Journal of Research in Mathematics Education, 26 (2), 114-145.
Sparapani, E. F. (1996). Portfolio assessment: A way to authentically monitor Progress and Evaluate Teacher Preparation. (ERIC ED398195)
Spivey, N. N. (1995). Written discourse: A constructivist perspective. In L. P. Steffe (Eds.), Constructivism in education, 313-329. Lawrence Erlbaum Associate, Inc.
Steffe, L. P. & D'Ambrosio, B. S., (1995). Toward a working model of constructivist teaching: A reaction to Simon. Journal of Research in Mathematics Education, 26(2) , 146-159.
Stix, A.(1994). Pic-jour math: picture journal writing in mathematics. Arithmetic Teacher, January, 264-269.
Suchmon, L.A. (1987). Plans and situated actions: The problem of human-machine communication. New York: Cambridge University Press.
Susan, P., & Thomas, K. (1992). Creating constructivists and constructing creative mathematics. Educational Studies in Mathematics, 23 , 505-528
Swicegood, P. (1994). Portfolio-based assessment practices. Intervention in School and Clinic, 30(1), 6-15.
Tanner, C. K. & Keedy, J. L. (1995). Problem-based learning: Relating the ‘real world’ to principalship preparation. Clearing House, 68(3), 154-158.
Tobin, K., Briscoe, C. & Holman, J. R. (1990). Overcoming constraints to effective elementary science teaching. Science Education, 74(4), 409-420.
Tomlin, V. E. (1994). A mentor program for improving the academic attainment of black adolescent males. Unpublished doctoral dissertation, University of Denver.
Umiker-Sebeok, J. & Kim G. (1999). The social matrix of information needs and behavior: Community. http://www.slis.indiana.edu/umikerse/L503/Commun.htm
Von Glasersfeld, E. (1989). Constructivism in education. In T. Husen, & N. Postlethwaite(Eds.). The international in encyclopedia of education. Supplementary Vol. 1, 162-163. New York: Pergamon.
Von Glasersfeld, E. (1991). Radical constructivism in mathematics education. Netherlands: Kluwer Academic Publishers.
Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes. Cambridge, MA: Harvard University Press.
Waltner, J. C. (1992). Learning from scientists at work. Educational Leadership, 48-52.
Wasak, B. A. & Slavin, R. E. (1993). Preventing early reading failure with one-to-one tutoring: A review of five programs. Reading Research Quarterly, 28, 179-200.
Wasden, D.F. (1988). The mentoring handbook. Brigham Young University College of Education, Provo, UT.
Wesson, C. L., & King. R. P. (1992). The role of curriculum-based measurement in portfolio assessment. Diagnostique, 18(1), 27-37.
Wesson, C. L., & King, R. P. (1996). Portfolio assessment and special education students. Teaching Exceptional Children, 28(2), 44-49.
West, D. J., & Watson, D. E. (1996). Using problem-based learning and educational reengineering to improve outcomes. (ERIC Document Reproduction Service No. ED 400 242)
Wheatley, G. H. (1991). Constructivist perspectives on science and mathematics learning. Science Education, 75(1), 9-21.
Wilson, B., & Ryder. M. (1996). Dynamic learning communities: An alternative to designed instructional systems. (ED 397 847)
Winsor, P. , & Ellefson, B. (1995). Professional portfolios in teacher education: An exploration of their value and potential. The teacher Education. 31(1), 68-91.
Wolf, D. P. (1989). Portfolio assessment: Sampling student work. Educational Leadership, 46 (7), 35-39.
Wolf, K. P. (1991). The school teacher's portfolio: Issues in design, implementation, and evaluation. Phi Delta Kappan, 73 (2), 129-136.
Yackel, E., Cobb, P., & Wood, T. (1991). Small group interactions as a source of learning opportunities in second-grade mathematics. Journal for research in Mathematics Education, 22, 390-408.
Yarnall, L., & Kafai, Y. (1996). Issues in project-based science activities: Children's constructions of ocean software games. (ERIC Document Reproduction Service No. ED 395 819)